Least Common Multiple of 41/67, 89/290, 930/750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/67, 89/290, 930/750 quickly i.e. 3393570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/67, 89/290, 930/750 is 3393570.

LCM(41/67, 89/290, 930/750) = 3393570

LCM of 41/67, 89/290, 930/750

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 41/67,89/290,930/750

Given numbers are 41/67,89/290,930/750

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 41,89,930

Least Common Multiple of Numerators i.e. LCM of 41,89,930 is 3393570.

GCF of Denominators means GCF of 67,290,750 as per the given fractions.

GCF of 67,290,750 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,89,930

LCM of Fractions 41/67,89/290,930/750 is 3393570

Given numbers has no common factors except 1. So, there LCM is their product i.e 3393570

Least Common Multiple of 41,89,930 with GCF Formula

Least Common Multiple of 41,89,930 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 41,89,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,89,930) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(41,89,930) x common factors =1 x 1 = 1

LCM(41,89,930) = ( 41 × 89 × 930 ) / 1

LCM(41,89,930) = 3393570 / 1

LCM(41,89,930) = 3393570


Lets's calculate GCF of 67,290,750

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3393570/1

Therefore the LCM of Fractions 41/67,89/290,930/750 is 3393570

Greatest Common Factor of 67,290,750 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,290,750 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Greatest Common Factor

We found the factors 67,290,750 . The biggest common factor number is the GCF number.
So the greatest common factor 67,290,750 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 41/67, 89/290, 930/750

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 41/67, 89/290, 930/750?

Answer: LCM of Numerators as per given numbers 41/67, 89/290, 930/750 is

LCM of Numerators i.e. for 41,89,930 is 3393570

GCF of denominators i.e. for 67,290,750 is 1.

Thus, LCM of Fractions is 3393570.Finally, LCM of Fractions for 41/67, 89/290, 930/750 is 3393570.